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Finding the Fourth Proportional to 107,182.80, 160,831.80 and 44,859.60

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Solution

The fourth proportional to 107,182.80, 160,831.80 and 44,859.60 is: 67,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,182.80 : 160,831.80 = 44,859.60 : x
  2. Step 2: Convert to fraction form
    107,182.80/160,831.80 = 44,859.60/x
  3. Step 3: Cross multiply
    107,182.80x = 160,831.80 × 44,859.60
  4. Step 4: Simplify right side
    107,182.80x = 7,214,850,215.28
  5. Step 5: Solve for x
    x = 7,214,850,215.28/107,182.80
  6. Step 6: Final answer
    x = 67,313.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.